Search results
Results from the WOW.Com Content Network
Aleksandr Mikhailovich Lyapunov [a] [b] (Алекса́ндр Миха́йлович Ляпуно́в, 6 June [O.S. 25 May] 1857 – 3 November 1918) was a Russian mathematician, mechanician and physicist.
Alexander Lyapunov: 1892 His paper Sur le problème général de la stabilité du mouvement (in French) marks the beginning of stability theory. James Clerk Maxwell: 1868 Paper "On governors" investigated the stability of governors in a systematic way and discovered the necessary conditions for stability. Nicolas Minorsky: 1922
Alexander Alexandrovich Friedmann (also spelled Friedman or Fridman; He was a Russian and Soviet physicist and mathematician. He originated the pioneering theory that the universe is expanding, governed by a set of equations he developed known as the Friedmann equations.
The following is a list of people who are considered a "father" or "mother" (or "founding father" or "founding mother") of a scientific field.Such people are generally regarded to have made the first significant contributions to and/or delineation of that field; they may also be seen as "a" rather than "the" father or mother of the field.
The idea of Lyapunov stability can be extended to infinite-dimensional manifolds, where it is known as structural stability, which concerns the behavior of different but "nearby" solutions to differential equations. Input-to-state stability (ISS) applies Lyapunov notions to systems with inputs.
The Lyapunov time mirrors the limits of the predictability of the system. By convention, it is defined as the time for the distance between nearby trajectories of the system to increase by a factor of e. However, measures in terms of 2-foldings and 10-foldings are sometimes found, since they correspond to the loss of one bit of information or ...
Alexander Lyapunov in the 1890s marks the beginning of stability theory. Harold S. Black invented the concept of negative feedback amplifiers in 1927. He managed to develop stable negative feedback amplifiers in the 1930s. Harry Nyquist developed the Nyquist stability criterion for feedback systems in the 1930s.
A Lyapunov function for an autonomous dynamical system {: ˙ = ()with an equilibrium point at = is a scalar function: that is continuous, has continuous first derivatives, is strictly positive for , and for which the time derivative ˙ = is non positive (these conditions are required on some region containing the origin).